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Finding the Fourth Proportional to 206,345.61, 309,587.66 and 79,989.98

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Solution

The fourth proportional to 206,345.61, 309,587.66 and 79,989.98 is: 120,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,345.61 : 309,587.66 = 79,989.98 : x
  2. Step 2: Convert to fraction form
    206,345.61/309,587.66 = 79,989.98/x
  3. Step 3: Cross multiply
    206,345.61x = 309,587.66 × 79,989.98
  4. Step 4: Simplify right side
    206,345.61x = 24,763,911,092.31
  5. Step 5: Solve for x
    x = 24,763,911,092.31/206,345.61
  6. Step 6: Final answer
    x = 120,011.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.